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2 years ago

I need help with question 2

Mathematics

2 answers:

emmasim [6.3K]2 years ago

6 0

Answer:

Step-by-step explanation:

Since BD and DC are congruent, we know that DA bisects <BAC.

This means that <BAD and <CAD are congruent.

We can set up an equation for that.

3x+7=10x-7

Subtract 3x from both sides.

3x-3x+7=10x-3x-7

7=7x-7

Add 7 to both sides.

7+7=7x-7+7

14=7x

Divide both sides by 7.

x=2

Plug that back into expression for m<CAD.

10x-7

10(2)-7

20-7

13 degrees.

ANEK [815]2 years ago

4 0

Answer:

Step-by-step explanation:

Angle CAD and angle BAD are congruent.

10x - 7 = 3x+ 7

10x - 3x = 7 + 7

7x = 14

(7x)/7 = 14/7

x = 2

Plug in x as 2.

10(2) - 7

20 - 7

= 13

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Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

5 0

2 years ago

PLEASE HELP ME PRE CAL/TRIG

miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $\frac{7}{10} * (250 pi)$ = 550 Feet.